Find the Average Value of the Function $f(x)$ In the Interval $[-\pi, \pi]$

Multiple Choice

Find the average value of the function $f(x)$ in the interval $[-\pi, \pi]$ . $f(x) =\sin ^{6} x \cos ^{5} x$

A) $\pi$
B) 0
C) $\frac{\pi}{5}$
D) $\frac{\pi}{12}$
E) $\frac{\pi}{6}$